Prime p₀= 1192992582634397981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 148 2 4 2 10 2 28 2 40 2 (?)
a_n: 0 2 60 62 210 212 216 218 228 230 258 260 300 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: xii5ku
db: batch=77, k=14, 58 148 4 10 28 40

SPT(16)	1192991066917808671	0 36 60 88 100 108 120 142 156 178 190 198 210 238 262 298	-1515716589310
STPT(10)	1192991396702644067	0 2 12 14 42 44 72 74 84 86	-1185931753914
STPT(10)	1192991443464159137	0 2 30 32 42 44 54 56 84 86	-1139170238844
SPT(16)	1192991906241107677	0 22 34 40 46 52 60 82 174 196 204 210 216 222 234 256	-676393290304
SPT(16)	1192992454856017679	0 14 54 62 92 120 132 134 210 212 224 252 282 290 330 344	-127778380302
SPT(16)	1192992559195004767	0 6 66 70 72 112 132 136 240 244 264 304 306 310 370 376	-23439393214
STPT(10)	1192992852947030591	0 2 30 32 78 80 126 128 156 158	270312632610
SPT(16)	1192992864208612679	0 2 14 38 44 50 120 168 254 302 372 378 384 408 420 422	281574214698
STPT(10)	1192992884716874567	0 2 30 32 42 44 54 56 84 86	302082476586
SPT(16)	1192993238409680809	0 24 52 58 72 90 118 190 252 324 352 370 384 390 418 442	655775282828
SPT(16)	1192993751081609747	0 2 32 74 92 102 110 140 156 186 194 204 222 264 294 296	1168447211766